论文标题
Lipschitz空间上的普通功能很弱$^\ ast $连续
Normal functionals on Lipschitz spaces are weak$^\ast$ continuous
论文作者
论文摘要
令$ \ operatorname {lip} _0(m)$为Lipschitz的空间,在基本点消失的完整度量空间$ m $上。我们表明,$ \ operatorname {lip} _0(m)^\ ast $中的每个普通功能都是弱$^*$连续的,回答了N. Weaver的问题。
Let $\operatorname{Lip}_0(M)$ be the space of Lipschitz functions on a complete metric space $M$ that vanish at a base point. We show that every normal functional in $\operatorname{Lip}_0(M)^\ast$ is weak$^*$ continuous, answering a question by N. Weaver.